It is not just in fractions. In general, division can be defined as multiplication by the reciprocal. For example, dividing by 5 is the same as multiplying by 0.2. However, it is mainly in calculations with fractions that this is normally used as a practical way of doing the calculations.
Multiply the reciprocal of the divisor by the dividend.
Dividing by any fraction is the same as multiplying by that fraction's reciprocal. To find a fraction's reciprocal on a calculator, simply raise the fraction to the power of -1. In this case, dividing by 1/3 is the same as multiplying by (1/3)-1 = 3. For example, 8 / 1/3 = 8 x 3 = 24
A reciprocal of a number is the value you get by dividing 1 by the number. For example, if you want to find the reciprocal of 10, then you divide 1 by 10 and you get 1/10. You can find the reciprocal of a fraction as well. Thus if you want the reciprocal of 1/10 then you divide 1 by 1/10 which is (1)/(1/10) which yields the original number we started with, namely 10. So 10 and 1/10 are reciprocals of each other. Note also that multiplying any number by its reciprocal will always yield 1.
A reciprocal is the number you must multiply another number by to get the product of 1. The reciprocal of 4 (which is the same as 4/1) is 1/4. The reciprocal of 3/8 is 8/3. The reciprocal of 13 is 1/13.This can also be expressed using exponents. The reciprocal of any value x is equal to x-1. So the reciprocal of a/b is (a/b)-1, which is equal to b/a.To find a reciprocal, put the number under one. If it is a fraction, flip the fraction. Whatever the reciprocal is, remember that it must always multiply to one with the original number.
The reciprocal, or multiplicative inverse, of -1.7 is (-1.7)-1 In case you are not comfortable with exponents yet, another way to write the reciprocal is to swap the numerator of a fraction with the denominator. So first convert -1.7 into a fraction, then "flip it upside down" by switching the number on top with the number on bottom.
Multiply the reciprocal of the divisor by the dividend.
Dividing by any fraction is the same as multiplying by that fraction's reciprocal. To find a fraction's reciprocal on a calculator, simply raise the fraction to the power of -1. In this case, dividing by 1/3 is the same as multiplying by (1/3)-1 = 3. For example, 8 / 1/3 = 8 x 3 = 24
Most people find multiplication by a fraction easier than dividing by a fraction. Dividing by a fraction is equivalent to multiplying by its reciprocal. For example, 10 / (3/4) would require you to divide by 3/4. How many three-quarters in ten? Hmmm... Not that easy. Instead, try multiplying by 4/3 Much easier: 10*(4/3) = 40/3 = 13.33...
To get the reciprocal of a fraction, exchange the numerator and denominator.
The reciprocal of a number is the inverse of that number. It is obtained by dividing 1 by the number. For example, the reciprocal of 5 is 1/5 and the reciprocal of 3/4 is 4/3.
The divisor is the number doing the dividing, rather than the number being divided. For example, in the problem 144/12, 12 is dividing into 144, so 12 is the divisor. If you are dividing mass by volume to attempt to find density, the volume measurement will be the divisor.
The reciprocal of the fraction is simply the fraction raised to the -1 power. Simply "flip the fraction upside down" to find the reciprocal. e.g. 3/23 has a reciprocal of 23/3.
When dividing two fractions, multiply the first fraction by the second fraction's reciprocal. 2/3 divided by 3/4 = 2/3 x 4/3
1/3. The fraction for 3 is 3/1, and to find a reciprocal, you have to flip the fraction.
Number x Reciprocal = 1 Therefore Reciprocal = 1/Number
Yes. For example, if you're trying to find our 5/9 divided by 4/8, you multiply 5/9 by 8/4, giving you 40/36. (In most cases, simplification is necessary.)
Multiply by the second fraction's reciprocal. 7/4 divided by 8/5 = 7/4 x 5/8